Complex Numbers And Quadratic Equations question 806

Question: If $ x^{2}+2ax+10-3a>0 $ for all $ x\in R $ , then [IIT Screening 2004]

Options:

A) $ -5<a<2 $

B) $ a<-5 $

C) $ a>5 $

D) $ 2<a<5 $

Show Answer

Answer:

Correct Answer: A

Solution:

According to given condition, $ 4a^{2}-4(10-3a)<0 $ Þ $ a^{2}+3a-10<0 $
Þ $ (a+5)(a-2)<0 $
Þ $ -5<a<2 $ .